Answer:
f(1) = 7
f(2) = 18
f(3) = 31
f(4) = 46
f(5) = 63
f(6) = 82
f(7) = 103
f(8) = 126
f(9) = 151
f(10) = 178
Step-by-step explanation:
f(1) = (-1)^2+8(1)-2 = 7
Continue plugging in values...
Answer:
2.32 gallons of paint
Step-by-step explanation:
First, find the area of all 4 sides of the room, with the equation A = lw
11(10)
= 110 (for 2 of the walls)
18(10)
= 180 (for the other 2 walls)
Add these up:
110 + 110 + 180 + 180
= 580
Then, divide this by 250:
580/250
= 2.32
So, 2.32 gallons of paint will be needed to paint the room.
Y-y1= m(x-x1) point-slope form
y-0= -3(x-5)
solve this point-slope form to slope-intercept form. Use the information to graph the line.
Using derivatives, it is found that regarding the tangent line to the function, we have that:
- The equation of the line is y = 962x - 5119.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
The slope of the line tangent to a function f(x) at x = x' is given by f'(x'). In this problem, the function is given by:
f(x) = 5x³ + 2x + 1.
The derivative is given by:
f'(x) = 15x² + 2.
Hence the slope at x = 8 is:
m = f'(8) = 15(8)² + 2 = 962.
The line goes through the point (8,f(8)), hence:
f(8) = 5(8)³ + 2(8) + 1 = 2577.
Hence:
y = 962x + b
2577 = 962(8) + b
b = -5119.
Hence the equation is:
y = 962x - 5119.
More can be learned about tangent lines at brainly.com/question/8174665
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Answer:
no
Step-by-step explanation:
it is 0.05
